[" 13.By mathematical induction,prove that "AA n in N" ,"],[a+ar+ar^(2)+......" to "n" terms "=(a(r^(n)-1))/(r-1)," if "r>1]

Prove that a+ar+ar^2+.......+n "terms" =(a(r^n+1))/(r-1),r ne 1

Using the principle of finite Mathematical Induction prove the following: (iv) a+ar+ar^(2)+……..+"n terms" = (a(r^(n)-1))/(r-1) , r != 1 .

a+ar+ar^(2)+......+ar^(n-1)=(a(r^(n)-1))/(r-1)

Prove that by using the principle of mathematical induction for all n in N : a+ ar+ ar^(2)+ ..+ ar^(n-1)= (a(r^(n)-1))/(r-1)

Prove that by using the principle of mathematical induction for all n in N : a+ ar+ ar^(2)+ ..+ ar^(n-1)= (a(r^(n)-1))/(r-1)

For all ninNN , prove by principle of mathematical induction that, a+ar+ar^(2)+ . . . to n terms =a*(r^(n)-1)/(r-1)[rne1] .

Prove the following by using the principle of mathematical induction for all n in N :- a + ar + ar^2+...+ ar^(n-1)=(a(r^n-1))/(r-1) .

Prove the following by using the principle of mathematical induction for all n in Nvdotsa+ar+ar^(2)+...+ar^(n-1)=(a(r^(n)-1))/(r-1)

Prove the following by using the principle of mathematical induction for all n in N : a+a r+a r^2+...+a r^(n-1)=(a(r^n-1))/(r-1)

Prove the following by using the principle of mathematical induction for all n in N a+ar + ar^2 +…….+ ar^(n-1) = (a(r^n - 1))/(r - 1)